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Finding the Third Proportional to 326,214 and 504,166

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Solution

The third proportional to 326,214 and 504,166 is: 779,192.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,214 : 504,166 = 504,166 : x
  2. Step 2: Convert to fraction form
    326,214/504,166 = 504,166/x
  3. Step 3: Cross multiply
    326,214x = 504,166 × 504,166
  4. Step 4: Simplify right side
    326,214x = 254,183,355,556
  5. Step 5: Solve for x
    x = 254,183,355,556/326,214
  6. Step 6: Final answer
    x = 779,192.05

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.